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Configurational entropy of optical bright similariton in tapered graded-index waveguide
摘要： Con?gurational entropy (CE) consists of a family of entropic measures of information used to describe the shape complexity of spatially-localized functions with respect to a set of parameters. We obtain the Differential Con?gurational Entropy (DCE) for similariton waves traveling in tapered graded-index optical waveguides modeled by a generalized nonlinear Schr?dinger equation. It is found that for similariton’s widths lying within a certain range, DCE attains minimum saturation values as the nonlinear wave evolves along the effective propagation variable ζ (t). In particular, saturation is achieved earlier for lower values of the width, which we show correspond to global minima of the DCE. Such low entropic values lead to minimum dispersion of momentum modes as the similariton waves propagate along tapered graded-index waveguides, and should be of importance in guiding their design.
关键词： Optical ?ber communications,Tapered graded-index waveguide,Bright similariton,Con?gurational entropy,Generalized nonlinear Schr?dinger equation
更新于2025-09-23 15:21:01
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On the role of four-wave mixing effect in the interactions between nonlinear modes of coupled generalized nonlinear Schr?dinger equation
摘要： In this paper, we investigate the effect of four-wave mixing in the interactions among nonlinear waves such as solitons, breathers, and rogue waves of a coupled generalized nonlinear Schr?dinger equation. We explore several interesting results including superposition of breather pulses, increment in the number of breather pulses and in amplitudes of breathers, and rogue waves. By strengthening the four-wave mixing parameter, we observe different transformations that occur between different localized structures. For instance, we visualize a transformation from bright soliton to breather form, bright and dark rogue wave to four-petaled rogue wave structures, four-petaled rogue wave to other rogue wave forms, and so on. Another important observation that we report here is that the interaction of a bright soliton with a rogue wave in the presence of the four-wave mixing effect provides interaction between a dark oscillatory soliton and a rogue wave.
关键词： solitons,coupled generalized nonlinear Schr?dinger equation,breathers,four-wave mixing,rogue waves,nonlinear waves
更新于2025-09-12 10:27:22